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Finding the Fourth Proportional to 58.01, 87.34 and 42.90

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Solution

The fourth proportional to 58.01, 87.34 and 42.90 is: 64.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.01 : 87.34 = 42.90 : x
  2. Step 2: Convert to fraction form
    58.01/87.34 = 42.90/x
  3. Step 3: Cross multiply
    58.01x = 87.34 × 42.90
  4. Step 4: Simplify right side
    58.01x = 3,746.78
  5. Step 5: Solve for x
    x = 3,746.78/58.01
  6. Step 6: Final answer
    x = 64.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.